What is tan(arcsin(a/4)) ?

The solution to tan(arcsin(a/4)) is (asqrt(16-a^2))/(16-a^2)

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simplify tan(arcsin(a/4))

simplify

tan (arcsin (\frac{a}{4}))

\frac{a 16 - a ^{2}}{16 - a ^{2}}

Solution steps

tan (arcsin (\frac{a}{4}))

Use the following identity:

tan (arcsin (x)) = \frac{x 1 - x ^{2}}{1 - x ^{2}}

= \frac{( \frac{a}{4} ) 1 - ( \frac{a}{4} ) ^{2}}{1 - ( \frac{a}{4} ) ^{2}}

Simplify

= \frac{a 16 - a ^{2}}{16 - a ^{2}}

sin (π - \frac{θ}{2})

j^{10} sin (- 4 5^{\circ})

sin (x) - sin (x - 12 0^{\circ})

sin (\frac{5 π}{2} + 2 a)

cos (θ - 9 0^{\circ})

What is tan(arcsin(a/4)) ?
The solution to tan(arcsin(a/4)) is (asqrt(16-a^2))/(16-a^2)